Introductory Statistics 9th Edition

Published by Wiley
ISBN 10: 1-11905-571-7
ISBN 13: 978-1-11905-571-6

Chapter 4 - Section 4.3 - Marginal Probability, Conditional Probability, and Related Probability Concepts - Exercises - Page 149: 4.30


Two mutually exclusive events are events that cannot occur together. For example, suppose we toss a coin, the events head and tail cannot occur together. As another example, suppose one student is selected at random from a statistics class and the gender of the student is observed. This student can be a male or a female. These are two mutually exclusive events because these two events cannot happen together if only one student is selected.

Work Step by Step

The example for non mutually exclusive events: 1) Suppose one student is randomly selected from a school to observe whether the selected student is a math major, business major, or a double major in math and business. 2) Suppose we are rolling a die, A= the first three number is observed ={1,2,3} B= the last four number is observed = {3,4,5,6} Since events A and B have one common element of {3}, therefore they are not mutually exclusive.
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